225013872 has 160 divisors (see below), whose sum is σ = 635705344. Its totient is φ = 68428800.

The previous prime is 225013837. The next prime is 225013879. The reversal of 225013872 is 278310522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225013879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3358383 + ... + 3358449.

Almost surely, 2^225013872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225013872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317852672).

225013872 is an abundant number, since it is smaller than the sum of its proper divisors (410691472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225013872 is a wasteful number, since it uses less digits than its factorization.

225013872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 225013872 is about 15000.4623928731. The cubic root of 225013872 is about 608.2326989014.

The spelling of 225013872 in words is "two hundred twenty-five million, thirteen thousand, eight hundred seventy-two".